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Finding the Fourth Proportional to 8,126.30, 12,165.68 and 7,348.10

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Solution

The fourth proportional to 8,126.30, 12,165.68 and 7,348.10 is: 11,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.30 : 12,165.68 = 7,348.10 : x
  2. Step 2: Convert to fraction form
    8,126.30/12,165.68 = 7,348.10/x
  3. Step 3: Cross multiply
    8,126.30x = 12,165.68 × 7,348.10
  4. Step 4: Simplify right side
    8,126.30x = 89,394,633.21
  5. Step 5: Solve for x
    x = 89,394,633.21/8,126.30
  6. Step 6: Final answer
    x = 11,000.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.